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Finding the Fourth Proportional to 5,827.50, 8,741.60 and 1,611.40

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Solution

The fourth proportional to 5,827.50, 8,741.60 and 1,611.40 is: 2,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.50 : 8,741.60 = 1,611.40 : x
  2. Step 2: Convert to fraction form
    5,827.50/8,741.60 = 1,611.40/x
  3. Step 3: Cross multiply
    5,827.50x = 8,741.60 × 1,611.40
  4. Step 4: Simplify right side
    5,827.50x = 14,086,214.24
  5. Step 5: Solve for x
    x = 14,086,214.24/5,827.50
  6. Step 6: Final answer
    x = 2,417.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.